PARALLEL CO-VOLUME SUBJECTIVE SURFACE METHOD FOR 3D MEDICAL IMAGE SEGMENTATION - Deformable Models - page 159

53. Chen Y-G, Giga Y, Goto S. 1991. Uniqueness and existence of viscosity solutions of generalized

mean curvature flow equation. J Diff Geom 33 :749-786.

54. Crandall MG, Ishii H, Lions PL. 1992. User's guide to viscosity solutions of second order
partial differential equations. Bull Amer Math Soc 27 :1-67.
55. Citti G, Manfredini M. 2002. Long time behavior of Riemannian mean curvature flow of graphs.
J Math Anal Appl 273 (2):353-369.
56. Corsaro S, Mikula K, Sarti A, Sgallari F. 2004. Semi-implicit co-volume method in 3D image
segmentation . Preprint 2004-12, Department ofMathematics andDescriptive Geometry, Slovak
University of Technology, Bratislava.
57. Patankar S. 1980. Numerical heat transfer and fluid flow . New York: Hemisphere Publishing.
58. Eymard R, Gallouet T, Herbin R. 2000. The finite volume method. In Handbook for numerical
analysis , Vol. 7, pp. 715-1022. Ed Ph Ciarlet, JL Lions. New York: Elsevier.
59. Le Veque R. 2002. Finite volume methods for hyperbolic problems . Cambridge Texts in Applied
Mathematics, Cambridge: Cambridge UP.
60. Brenner SC, Scott LR. 2002. The mathematical theory of the finite element method . New York:
Springer.
61. Thomee V. 1997. Galerkin finite element methods for parabolic problems . Berlin: Springer.
62. Deckelnick K, Dziuk G. 1995. Convergence of a finite element method for non-parametric
mean curvature flow. Numer Math 72 :197-222.
63. Deckelnick K, Dziuk G. 2000. Error estimates for a semi-implicit fully discrete finite element
scheme for the mean curvature flow of graphs. Interfaces Free Bound 2 (4):341-359.
64. Deckelnick K, Dziuk G. 2003. Numerical approximation of mean curvature flow of graphs

and level sets. In Mathematical aspects of evolving interfaces , pp. 53-87. Ed L Ambrosio,

K Deckelnick, G Dziuk, M Mimura, VA Solonnikov, HM Soner. New York: Springer.

65. Walkington NJ. 1996. Algorithms for computing motion by mean curvature. SIAM J Numer
Anal , 33 (6):2215-2238.
66. Saad Y. 1996. Iterative methods for sparse linear systems . Spanish Fork, UT: PWS Publishing.
67. Aoyama Y, Nakano J. 1999. RS/6000 SP: Practical MPI Programming,

IBM

www.redbooks.ibm.com.
68. Mikula K. 2001. Parallel filtering of three dimensional image sequences. In Science and super-
computing at CINECA , pp. 674-677. Ed F Garofalo, M Moretti, M Voli. Bologna: CINECA.
69. Kanizsa G. 1979. Organization in vision . New York: Praeger.
70. Mikula K, Sarti A, Sgallari F. 2006. Co-volume method for Riemannian mean curvature flow
in subjective surfaces multiscale segmentation. Comput Visualiz Sci 9 (1):23-31.